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The kinetic energy needed to project a body of mass m from the surface of earth

The kinetic energy needed to project a body of mass m from the surface of earth (radius R) to infinity is

Options

(a) mgR/2
(b) 2mgR
(c) mgR
(d) mgR/4

Correct Answer:

mgR

Explanation:

The kinetic energy =1/2MVe²
The escape velocity Ve=√2gR
Ve²=2gR
= 2mgR/2
=mgR

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